Christoph Haederli - Les thÃ¨ses en ligne de l'INP - Institut National ...

More documents

Recommendations

Info

3-L DC Link ML Converter Properties 71 art, which are making use of the NP current – voltage characteristics can also be used for any of the proposed split DC-link topologies. This finding is rather important, as the published concepts are numerous and they can both be used as basis for the further development of control schemes and for the basic understanding of the ML converter properties. The standard NP current function common for all 3-L DC link converters can be expressed as: i = ( 1− abs( s)) * (45) NP i out With the average switching function s from -1 to 1. Alternatively, the per phase duty cycle α L can be used resulting in: i = ( 1− abs(2α −1)) * i (46) NP L out 4.7 NP current in multiphase systems The findings from the previous paragraph on single phase leg properties can be used for the investigation of multi phase systems. The NP currents in function of the voltage in single phase legs (45) and (46) combine into characteristic NP currents in function of the CM voltage for a given DM output voltage. Based on the basic NP current functions, an analysis of the NP current spectrum can be made. Specifically, the DC NP current term relevant for NP voltage control can be determined in function of line currents and converter switching functions. 4.7.1 NP current in function of CM 4.7.1.1 H-bridge In an H-bridge configuration, a single phase output voltage is created by connecting a load between two single phase legs. The output voltage is proportional to the difference of the two average switching functions s a and s b . The two currents sum up to zero, as there is one single current loop. U U = sDM (47) 2 2 DC DC u out uout _ a − uout _ b = *( sa − sb) = * i out _ a = −i (48) out _ b i NP a = i ((1 − abs( s )) − (1 − abs( s ))) = i * ( abs( s ) − abs( s )) (49) out _ a * a b out _ a s ≤ * s (50) a 0 ∧ sb ≤ 0 → iNP = iout _ a *( sa − sb) = iout _ a s ≥ * s (51) a 0 ∧ sb ≥ 0 → iNP = iout _ a * ( sb − sa ) = −iout _ a s ≥ * 2* s (52) a 0 ∧ sb ≤ 0 → iNP = −iout _ a *( sb + sa ) = −iout _ a s ≤ * 2* s (53) 0 ∧ sb ≥ 0 → iNP = iout _ a *( sb + sa ) = iout _ a DM DM CM b CM a
72 3-L DC Link ML Converter Properties The two phase legs can be operated with zero common mode (opposing output voltage ratios: r 1 = – r 2) to obtain symmetry; the resulting NP current is zero. If the two output voltage ratios have different signs, both gradients have the same sign and the resulting NP current is a linear function of the CM voltage. If both output voltage ratios have the same signs, the two gradients have opposing signs, so that the gradient of the sum of the two functions is zero. The total NP current is then defined by the DM voltage alone. The resulting function of the NP current in function of the CM voltage is a piecewise linear function as shown in Figure 59 b). This function is always monotonic but can go into saturation. A good control scheme for the NP current should take this into account and limit the CM voltage to the area, where there is an impact on the NP current. NP current NP current 1 1 0 -1 I-NP / I-out1 0 I-NP1 / I-out1 1 s 0 -1 0 I-NP1 / I-out1 1 s I-NP2 / I-out1 I-NP2 / I-out1 -1 (a) -1 (b) 4.7.1.2 Three phase system Figure 59, NP current range with H-bridge In a typical three phase converter system, there are three phase legs sharing one common DC link. The load is not grounded in most application, which means there is no path for a CM current, the sum of the output currents is zero: i i + i 0 (54) out1 + out2 out3 = The neutral point current is the sum of the three individual NP currents: i i NPtot NPtot = i (1 − abs( s )) + i *(1 − abs( s )) + i *(1 − abs( )) (55) out1 * 1 out 2 2 out3 s3 = i − i abs( s ) + i − i * abs( s ) + i − i * abs( ) (56) out1 out1 * 1 out 2 out 2 2 out3 out 3 s3 i NPtot ( out1 1 out 2 2 + out3 s3 = − i * abs( s ) + i * abs( s ) i * abs( )) (57)
Page 1 and 2:
THÈSE En vue de l'obtention du DOC
Page 3:
Acknowledgements i ACKNOWLEDGEMENTS
Page 6 and 7:
iv Table of Contents 3.4 Generic ML
Page 8 and 9:
vi Table of Contents 7.1 General mo
Page 10 and 11:
viii Résumé français (French sum
Page 12 and 13:
x Résumé français (French summar
Page 14 and 15:
xii Résumé français (French summ
Page 16 and 17:
xiv Résumé français (French summ
Page 18 and 19:
xvi Résumé français (French summ
Page 20 and 21:
xviii Résumé français (French su
Page 22 and 23:
Introduction 1 2 INTRODUCTION This
Page 24 and 25:
Introduction 3 tighter capacitor di
Page 26 and 27:
Introduction 5 TABLE 1, OPERATING R
Page 28 and 29:
Introduction 7 2.3 Glossary Note th
Page 30 and 31:
Introduction 9 2.4 Nomenclature Not
Page 32 and 33:
Introduction 11 DPC DSP DTC FC FPGA
Page 34 and 35:
ML Converter Topologies 13 3 ML CON
Page 36 and 37:
ML Converter Topologies 15 The four
Page 38 and 39:
ML Converter Topologies 17 Each swi
Page 40 and 41:
ML Converter Topologies 19 size doe
Page 42 and 43: ML Converter Topologies 21 plus (a)
Page 44 and 45: ML Converter Topologies 23 N >= 2,
Page 46 and 47: ML Converter Topologies 25 (a) (b)
Page 48 and 49: ML Converter Topologies 27 (a) (b)
Page 50 and 51: ML Converter Topologies 29 In a pra
Page 52 and 53: ML Converter Topologies 31 reality,
Page 54 and 55: ML Converter Topologies 33 All cons
Page 56 and 57: ML Converter Topologies 35 TABLE 16
Page 58 and 59: ML Converter Topologies 37 TABLE 17
Page 60 and 61: ML Converter Topologies 39 3.7.4.1
Page 62 and 63: ML Converter Topologies 41 f C sw =
Page 64 and 65: ML Converter Topologies 43 A second
Page 66 and 67: ML Converter Topologies 45 Limitati
Page 68 and 69: ML Converter Topologies 47 1 K M 2
Page 70: ML Converter Topologies 49 3.8 Exec
Page 73 and 74: 52 3-L DC Link ML Converter Propert
Page 91: 70 3-L DC Link ML Converter Propert
Page 110 and 111: NP Control with Carrier based PWM 8
Page 142 and 143:
NP Control with Carrier based PWM 1
Page 144 and 145:
NP Control with Optimal Sequence SV
Page 146 and 147:
Page 148 and 149:
Page 150 and 151:
Page 152 and 153:
Page 154 and 155:
Page 156 and 157:
Page 158 and 159:
Page 160 and 161:
Page 162 and 163:
Page 164 and 165:
Page 166 and 167:
Page 168 and 169:
Page 170 and 171:
Application and Verification 149 7
Page 172 and 173:
Application and Verification 151 TA
Page 174 and 175:
Application and Verification 153 Th
Page 176 and 177:
Application and Verification 155 7.
Page 178 and 179:
Page 180 and 181:
Page 182 and 183:
Page 184 and 185:
Page 186 and 187:
Page 188:
Page 191 and 192:
170 Conclusions and Outlook 8.1.2 M
Page 193 and 194:
172 Conclusions and Outlook 8.2 Out
Page 195 and 196:
174 Conclusions and Outlook 8.3 Sum
Page 197 and 198:
176 Appendix I = 1− ) (99) ( C 2
Page 199 and 200:
178 Appendix TABLE 78, FLYING CAPAC
Page 201 and 202:
180 Appendix 9.3 Single phase NP cu
Page 203 and 204:
182 Appendix 9.4 States of the ANPC
Page 205 and 206:
184 Appendix 9.5 NP currents as a f
Page 207 and 208:
186 Appendix 9.5.3 Maximum and mini
Page 209 and 210:
188 Appendix 9.6 NP current functio
Page 211 and 212:
190 Appendix TABLE 91, NP CURRENT I
Page 213 and 214:
192 Appendix TABLE 93, NP CURRENT I
Page 216 and 217:
Bibliography 195 10 BIBLIOGRAPHY [1
Page 218 and 219:
Bibliography 197 [33] P. Steimer,
Page 220 and 221:
Bibliography 199 neutral point bala
Page 222 and 223:
Bibliography 201 [88] J. Pou, J. Za
show all

Christoph Haederli - Les thÃ¨ses en ligne de l'INP - Institut National ...

Create successful ePaper yourself

Delete template?

Save as template?